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Finding the Third Proportional to 276,584 and 595,208

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Solution

The third proportional to 276,584 and 595,208 is: 1,280,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,584 : 595,208 = 595,208 : x
  2. Step 2: Convert to fraction form
    276,584/595,208 = 595,208/x
  3. Step 3: Cross multiply
    276,584x = 595,208 × 595,208
  4. Step 4: Simplify right side
    276,584x = 354,272,563,264
  5. Step 5: Solve for x
    x = 354,272,563,264/276,584
  6. Step 6: Final answer
    x = 1,280,885.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.